I wouldn't say there's only one way to play Brazil. The UU pushes Golden Ages. Golden Ages increase production and culture (among other things). Production builds more UUs. Culture gets you warmongery sopols & tenets. Great Persons start more Golden Ages. I think Brazil could flood the world with Pracinhas and coast to a domination victory.
Depending on the amount of Golden Age's points the UU gives and the magnitude of the Great Artist's generation boost by the UA, a perpetual Carnival could be possible!
Ah, the noise!
Edit: How awesome - or overpowered - would be if each city with a Brazilwood Camp yielded a Brazilwood unique luxury resource? Easier Carnivals!